{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from path_explain import utils\n",
    "utils.set_up_environment(visible_devices='3')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import tensorflow as tf\n",
    "import tensorflow_datasets\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy\n",
    "from transformers import *\n",
    "from plot.text import text_plot, matrix_interaction_plot, bar_interaction_plot\n",
    "from plot.scatter import _set_axis_config\n",
    "from plot import colors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data and Model Loading"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "task = 'sst-2'\n",
    "num_labels = len(glue_processors[task]().get_labels())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "config = DistilBertConfig.from_pretrained('.', num_labels=num_labels)\n",
    "tokenizer = DistilBertTokenizer.from_pretrained('distilbert-base-uncased')\n",
    "model = TFDistilBertForSequenceClassification.from_pretrained('.', config=config)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "sentences = [\n",
    "    'This movie was bad',\n",
    "    'This movie was not bad',\n",
    "    'A movie',\n",
    "    'A bad movie',\n",
    "    'A bad, terrible movie',\n",
    "    'A bad, terrible, awful movie',\n",
    "    'A bad, terrible, awful, horrible movie'\n",
    "]\n",
    "\n",
    "input_ids_all = []\n",
    "token_type_ids_all = []\n",
    "attention_mask_all = []\n",
    "\n",
    "for sentence in sentences:\n",
    "    encoded_sentence = tokenizer.encode_plus(sentence,\n",
    "                                             add_special_tokens=True,\n",
    "                                             return_tensors='tf',\n",
    "                                             pad_to_max_length=True,\n",
    "                                             max_length=128)\n",
    "    input_ids = encoded_sentence['input_ids']\n",
    "    token_type_ids = encoded_sentence['token_type_ids']\n",
    "    attention_mask = encoded_sentence['attention_mask']\n",
    "\n",
    "    input_ids_all.append(input_ids)\n",
    "    token_type_ids_all.append(token_type_ids)\n",
    "    attention_mask_all.append(attention_mask)\n",
    "\n",
    "batch_input = {\n",
    "    'input_ids': tf.concat(input_ids_all, axis=0),\n",
    "    'token_type_ids': tf.concat(token_type_ids_all, axis=0),\n",
    "    'attention_mask': tf.concat(attention_mask_all, axis=0)\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model Evaluation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "batch_conf = model(batch_input)[0]\n",
    "batch_conf = scipy.special.softmax(batch_conf, axis=-1)\n",
    "batch_pred = np.argmax(batch_conf, axis=-1)\n",
    "batch_labels = [0, 1, 1, 0, 0, 0, 0]\n",
    "batch_ids = batch_input['input_ids']\n",
    "batch_baseline = np.zeros((1, 128), dtype=np.int64)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def embedding_model(batch_ids):\n",
    "    batch_embedding = model.distilbert.embeddings(batch_ids)\n",
    "    return batch_embedding\n",
    "\n",
    "def prediction_model(batch_embedding):\n",
    "    attention_mask = tf.ones(batch_embedding.shape[:2])\n",
    "    attention_mask = tf.cast(attention_mask, dtype=tf.float32)\n",
    "    head_mask = [None] * model.distilbert.num_hidden_layers\n",
    "\n",
    "    transformer_output = model.distilbert.transformer([batch_embedding, attention_mask, head_mask], training=False)[0]\n",
    "    pooled_output = transformer_output[:, 0]\n",
    "    pooled_output = model.pre_classifier(pooled_output)\n",
    "    logits = model.classifier(pooled_output)\n",
    "    return logits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "batch_embedding = embedding_model(batch_ids)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "baseline_embedding = embedding_model(batch_baseline)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "batch_predictions = prediction_model(batch_embedding)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model Interpretation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def print_sentence(index):\n",
    "    confidence = batch_conf[index]\n",
    "    predicted_label = batch_pred[index]\n",
    "    true_label = batch_labels[index]\n",
    "\n",
    "    encoded_sentence = batch_ids[index].numpy()\n",
    "    encoded_sentence = encoded_sentence[encoded_sentence != 0]\n",
    "\n",
    "    print(tokenizer.decode(encoded_sentence))\n",
    "    print('This sentence is:\\t{}'.format('positive' if true_label == 1 else 'negative'))\n",
    "    print('DistilBERT predicts:\\t{} (confidence {:.4f})'.format('positive' if predicted_label == 1 else 'negative',\n",
    "                                                           batch_conf[index, predicted_label]))\n",
    "    print('-------------------------')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[CLS] this movie was bad [SEP]\n",
      "This sentence is:\tnegative\n",
      "DistilBERT predicts:\tnegative (confidence 0.9982)\n",
      "-------------------------\n",
      "[CLS] this movie was not bad [SEP]\n",
      "This sentence is:\tpositive\n",
      "DistilBERT predicts:\tpositive (confidence 0.9819)\n",
      "-------------------------\n",
      "[CLS] a movie [SEP]\n",
      "This sentence is:\tpositive\n",
      "DistilBERT predicts:\tpositive (confidence 0.9940)\n",
      "-------------------------\n",
      "[CLS] a bad movie [SEP]\n",
      "This sentence is:\tnegative\n",
      "DistilBERT predicts:\tnegative (confidence 0.9981)\n",
      "-------------------------\n",
      "[CLS] a bad, terrible movie [SEP]\n",
      "This sentence is:\tnegative\n",
      "DistilBERT predicts:\tnegative (confidence 0.9983)\n",
      "-------------------------\n",
      "[CLS] a bad, terrible, awful movie [SEP]\n",
      "This sentence is:\tnegative\n",
      "DistilBERT predicts:\tnegative (confidence 0.9984)\n",
      "-------------------------\n",
      "[CLS] a bad, terrible, awful, horrible movie [SEP]\n",
      "This sentence is:\tnegative\n",
      "DistilBERT predicts:\tnegative (confidence 0.9984)\n",
      "-------------------------\n"
     ]
    }
   ],
   "source": [
    "for i in range(batch_ids.shape[0]):\n",
    "    print_sentence(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "attributions = np.load('attributions_custom.npy')\n",
    "interactions = np.load('interactions_custom.npy')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "orig_token_list = []\n",
    "for i in range(batch_ids.shape[0]):\n",
    "    ids = batch_ids[i].numpy()\n",
    "    tokens = tokenizer.convert_ids_to_tokens(ids)\n",
    "    orig_token_list.append(tokens)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "token_list, attribution_list, interaction_list = utils.strip_tokens(orig_token_list, attributions, interactions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "im, cbar = matrix_interaction_plot(interaction_list[0], token_list[0])\n",
    "plt.savefig('movie_bad.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "im, cbar = matrix_interaction_plot(interaction_list[1], token_list[1])\n",
    "plt.savefig('movie_not_bad.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "text_plot(token_list[1], attribution_list[1], include_legend=True)\n",
    "plt.savefig('movie_not_bad_text.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "text_plot(token_list[6], attribution_list[6], include_legend=True, interaction_matrix=interaction_list[6], interaction_index=8)\n",
    "plt.savefig('explaining_the_word_movie.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax, text_ax = bar_interaction_plot(interaction_list[6],\n",
    "                                   token_list[6],\n",
    "                                   pair_indices=[(1, 3),\n",
    "                                                 (1, 5),\n",
    "                                                 (1, 7),\n",
    "                                                 (3, 5),\n",
    "                                                 (3, 7),\n",
    "                                                 (5, 7)])\n",
    "plt.savefig('saturation_effects_in_language.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax, text_ax = bar_interaction_plot(interaction_list[3],\n",
    "                                   token_list[3],\n",
    "                                   top_k=3)\n",
    "plt.savefig('increasing_saturation_1.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax, text_ax = bar_interaction_plot(interaction_list[4],\n",
    "                                   token_list[4],\n",
    "                                   pair_indices=[(1, 4),\n",
    "                                                 (3, 4),\n",
    "                                                 (1, 3)])\n",
    "plt.savefig('increasing_saturation_2.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax, text_ax = bar_interaction_plot(interaction_list[5],\n",
    "                                   token_list[5],\n",
    "                                   pair_indices=[(1, 3),\n",
    "                                                 (1, 5),\n",
    "                                                 (1, 6),\n",
    "                                                 (3, 5),\n",
    "                                                 (3, 6),\n",
    "                                                 (5, 6)])\n",
    "plt.savefig('increasing_saturation_3.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax, text_ax = bar_interaction_plot(interaction_list[6],\n",
    "                                   token_list[6],\n",
    "                                   pair_indices=[(1, 3),\n",
    "                                                 (1, 5),\n",
    "                                                 (1, 7),\n",
    "                                                 (3, 5),\n",
    "                                                 (3, 7),\n",
    "                                                 (5, 7),\n",
    "                                                 (1, 8),\n",
    "                                                 (3, 8),\n",
    "                                                 (5, 8),\n",
    "                                                 (7, 8)])\n",
    "plt.savefig('increasing_saturation_4.pdf')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
